Enhanced bindings

Research output: Chapter in Book/Report/Conference proceedingChapter


In this chapter we discuss enhanced bindings for the Pauli–Fierz Hamiltonian with dipole approximation and for the N-body Nelson Hamiltonian. It is shown that an interaction with a quantum field enhances binding and sufficiently strong couplings consequently produce the ground state. It is also shown that the Pauli–Fierz Hamiltonian with dipole approximation with sufficiently weak coupling constants has no ground state if it has no ground state whenever a coupling constant is zero.

Original languageEnglish
Title of host publicationSpringerBriefs in Mathematical Physics
Number of pages21
Publication statusPublished - Jan 1 2019

Publication series

NameSpringerBriefs in Mathematical Physics
ISSN (Print)2197-1757
ISSN (Electronic)2197-1765

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)


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